127/20 multiplied by 48/3 in Fraction Form

The result of 127/20 multiplied by 48/3 is: 101 3/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 12720 and 483.

Step 2: Multiply the Numerators

Multiply the numerators: 127 × 48 = 6096

Step 3: Multiply the Denominators

Multiply the denominators: 20 × 3 = 60

Step 4: Simplify the Fraction

We can simplify 609660 to its lowest form.
The greatest common divisor (GCD) of 6096 and 60 is 12.
Dividing both numerator and denominator by the GCD, we get 5085.

Step 5: Convert to Mixed Number

The fraction 5085 can be written as the mixed number 10135.

Final Answer

The result of 127/20 multiplied by 48/3 is:

12720×483=10135

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

ab×cd=a×cb×d

After multiplying, it's always good practice to simplify the fraction to its lowest form.

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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